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Finding the Fourth Proportional to 16,630.13, 22,949.57 and 9,178.13

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Solution

The fourth proportional to 16,630.13, 22,949.57 and 9,178.13 is: 12,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630.13 : 22,949.57 = 9,178.13 : x
  2. Step 2: Convert to fraction form
    16,630.13/22,949.57 = 9,178.13/x
  3. Step 3: Cross multiply
    16,630.13x = 22,949.57 × 9,178.13
  4. Step 4: Simplify right side
    16,630.13x = 210,634,045.10
  5. Step 5: Solve for x
    x = 210,634,045.10/16,630.13
  6. Step 6: Final answer
    x = 12,665.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.